2 citations · 3 across the 5 of their papers we have counts for
6 papers
Learning limit cycles via Hebbian synaptic plasticity
Samantha J. Fournier, Luca Vincenzo Spallanzani, Pierfrancesco Urbani
We investigate high-dimensional, non-linear dynamical systems when exposed to incoherent periodic inputs and Hebbian-like synaptic plasticity. Our findings reveal a striking phenom…
Chaos in high-dimensional dynamical systems with tunable non-reciprocity
Samantha Fournier, Pierfrancesco Urbani
High-dimensional dynamical systems of interacting degrees of freedom are ubiquitous in the study of complex systems. When the directed interactions are totally uncorrelated, suffic…
High-dimensional dynamical systems: co-existence of attractors, phase transitions, maximal Lyapunov exponent and response to periodic drive
Samantha J. Fournier, Pierfrancesco Urbani
We study the dynamical properties of a broad class of high-dimensional random dynamical systems exhibiting chaotic as well as fixed point and periodic attractors. We consider cases…
Non-reciprocal interactions and high-dimensional chaos: comparing dynamics and statistics of equilibria in a solvable class of models
Samantha J. Fournier, Alessandro Pacco, Valentina Ros +1
We investigate a model of high-dimensional dynamical variables with all-to-all interactions that are random and non-reciprocal. We characterize its phase diagram and show that the…
Generative modeling through internal high-dimensional chaotic activity
Samantha J. Fournier, Pierfrancesco Urbani
Generative modeling aims at producing new datapoints whose statistical properties resemble the ones in a training dataset. In recent years, there has been a burst of machine learni…
Statistical physics of learning in high-dimensional chaotic systems
Samantha J. Fournier, Pierfrancesco Urbani
In many complex systems, elementary units live in a chaotic environment and need to adapt their strategies to perform a task, by extracting information from the environment and con…